# y = -3x - 13 and 4x + 3y = - 24

Question
Linear equations and graphs

$$y = -3x - 13$$ and $$4x + 3y = - 24$$

2021-02-20

$$Y = - 3 X - 13$$
$$4 X + 3 Y = - 24$$----------- compensate by $$Y = - 3 X - 13$$
$$4 X + 3 ( -3 x - 13 ) = - 24$$
$$4 X - 9 X - 39 = - 24$$
$$5 X - 39 = - 24$$ --------- add 39 to both sides
$$5 X = - 24 + 39 = 15$$
$$5 X = 15$$ ------- divide both sides over - 5
$$X = 15 / - 5 = -3$$
thus
$$Y = - 3 ( - 3 ) - 13 = 9 - 13 = - 4$$
Answer: --------- $$X = - 3 , Y = - 4$$

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